maths lecture

1. King Fahd University of Petroleum and Minerals
Prep-Year Math Program
Prep-Year Math I
MIDTERM EXAM
Semester I, Term 061
Tuesday, November 14, 2006
Net Time Allowed: 120 minutes
MASTER VERSION

2. MATH 001-TO61 (MIDTERM EXAM) Page 1 of 13 pGmEq
1. The number
(6.9 x 1029)(7.5 x 10-14)
written in scientific notation
0.023 x 1016
is given by
(b) 22.25 x lo6 see probtcw~ YS t; YB 1?32
(c) 2.25 x
(d) 0.225 x lo4
(e) 2.25 x
2. The value of the expression
-17 + 3[8x - 4(3x - 2)] when x 3 = --
4
(b) -11

3. MATH 001-TO61 (MIDTERM EXAM) Page 2 of 13 pzzEiq
3. The solution set, in interval notation, of the inequality
jplf (-m, -6) u [-3,6) See ~~~~~~~5 37 & 50 F-IYO
(b) (-m, -6) u [-3, m)
4. For x > 0 and y > 0, the expression
[(2x2y)-I (zx3 y-2)2 I -I" 2 (x y) -3 (25 y-2) -I
simplifies to
see e+-p!e 4 P-2 6
See ~~obkw5s9 6 76 b-32
Y
(b) 2
x2 (4
(d) x2y3
(4 xy4

4. MATH 001-TO61 (MIDTERM EXAM) Page 3 of 13 I MASTER I
5. If A is the leading coefficient and B is the constant
term of the polynomial (4x - 1)2- (2x - 3)2, then A + B
is equal to
seew" Q lei (.-36
Y4 See problems /I k 16 /?YI
6. One factor of 5x3y - 5xy3 + 6x2y - 6xy2 is
)$cf 5~+5y+6 see W-le q pa 5 I
4
(b) 5~-5y+6 see problem/, 63 G 6% P-SY
(c) 5x-5y-6
(d) 5x+5y-6
(e) 5x+5y+ll

5. MATH 001-TO61 (MIDTERM EXAM) Page 4 of 13
7. The possible value(s) of k that makes the trinomial
25x2 + kxy + 64y2 a perfect square is(are)
/p,f80 see +-pie 7 P-50
(b) 40 see p~obl~rn45 7 & 54 P-5'f
(c) -40
(d) f 160
8. The expression
simplifies to -.

6. MATH 001-TO61 (MIDTERM EXAM) Page 5 of 13 I MASTER I
9. The expression
simplifies to
10. If i=-, zl ==8-,i and z2 = 2-83, then zl + z2 =
pfl-i see ~-11m Y A70 md 5 k 71
(b) 1 - 42 see problem5 41 k 62 f? 72
(c) 1 + 32
(e) -1+3i

7. MATH 001-TO61 (MIDTERM EXAM)
11. The expression
Page 6 of 13
simplifies to
See exnnqle 4 k 60
12. The solution set, in interval notation, of the compound inequality
2x-4<8 and -2x+1<5

8. MATH 001-TO61 (MIDTERM EXAM) Page 7 of 13
13. The solution set of the equation
dZ3-3=r
contains see e?Cv le 6 k.12~
See problew5 29 30 k126
None rational number
(b) two rational numbers
(c) one positive rational number
(d) no real numbers
(e) one negative rational number
14. The length (L) of a rectangle is 2 units less than twice
the width (W) of the rectangle. If the perimeter of the
rectangle is 110 units, then L - W is equal to

9. MATH 001-TO61 (MIDTERM EXAM) Page 8 of 13 I MASTER I
15. The value of k for which the quadratic equation
has two equal solutions is
See w~ucpte 6 P8 loq
see problem5 47 t 54' b.113
16. If (a + c)x + x2 = (x + a)2, then x =

10. MATH 001-TO61 (MIDTERM EXAM) Page 9 of 13
17. The solutions of the equation
are
4 fi (b) -- f -2 3 3
4 fi (d) -3 f -2 3
2 ,h (e) -3 f Ti
18. The solution set of the equation
is equal to
(d) the empty set 4

11. MATH 001-TO61 (MIDTERM EXAM) Page 10 of 13 I MASTER I
19. Iftheequation (3x-4)(x+1) = -2 iswritteninthe
form (~+m=) n~, then m+n is equal to
See "-4 1 3 and 't kb /66-107
(b) 1
See problems 21 k 32 P- 113
20. If the sum and the product of the two roots of the equation
3
2x2 + bx + c = 0 are -4, and - respectively, then
L b + c is equal to
see pdlem~ g2 6 s 6 11 6

12. MATH 001-TO61 (MIDTERM EXAM) Page 11 of 13 I MASTER I
21. The sum of the real solutions of the equation
22. Which one of the following equations is NOT an Identity?
(b) 62 - 5 = -3(1 - 22) - 2 1
(d) (~-3)~=x~-6~+9
1 x + 6
(e) -x+2=-
3 3

13. MATH 001-TO61 (MIDTERM EXAM) Page 12 of 13
23. The sum of the real part and the imaginary part of the
complex number ,/=Z(V=z - ,/=z?)
(1 + i)2
is equal to
N -7
see th wrmqI~ A %A a*td
Imn3 imar3 ?mrfs of- a CampI~
(b) 1
~bevp.6 6 -
(4 -2 See problew~ 23,24, 33 k36 b. 72
(e) 42
24. The expression
simplifies to see Lmd k /?2qe3&'
.
(b) -16x26
(d) 3x2m
(e) -4x2%

14. MATH 001-TO61 (MIDTERM EXAM) Page 13 of 13
25. The solution set, in interval notation, of the inequality
2 < Is- 11 < 3 is equal to